File:SLOGappro50.jpg: Difference between revisions

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 {{Image notes ownworkpro
 |Description=Approximation of function slog with elementary function
-:<math>f=\frac{\log(z-L)}{L}+\frac{\log(z-L^*)/L^*+\sum_{n=0}^{50} v_n (z-1)^n</math>
+:<math>f=
-in the compex <math> plane.
+</math><math>
-Levels of
+\frac{\log(z-L)}{L}+
-:<math>\Re(f)=3</math>,
+\frac{\log(z-L^*)}{L^*}+
+\sum_{n=0}^{50} v_n (z-1)^n
+</math>
+in the compex <math>z</math> plane.
+The following levels are shown:
+:<math>\Re(f)=3</math> (black),
+:<math>\Re(f)=2</math> (black),
+:<math>\Re(f)=1</math> (black),
+:<math>\Re(f)=0.8</math> (blue),
+:<math>\Re(f)=0.6</math> (blue),
+:<math>\Re(f)=0.4</math> (blue),
+:<math>\Re(f)=0.2</math> (blue)
+:<math>\Re(f)=0</math> (black),
+:<math>\Re(f)=-0.2</math> (red),
+:<math>\Re(f)=-0.4</math> (red),
+:<math>\Re(f)=-0.6</math> (red),
+:<math>\Re(f)=-0.8</math> (red),
+:<math>\Re(f)=-1</math> (black),
+:<math>\Re(f)=-2</math> (black)
+and
+:<math>\Im(f)=2</math> (blue)
+:<math>\Im(f)=1.8</math> (green)
+:<math>\Im(f)=1.6</math> (green)
+:<math>\Im(f)=1.4</math> (green)
+:<math>\Im(f)=1.3</math> (green)
+:<math>\Im(f)=1</math> (blue)
+:<math>\Im(f)=0.8</math> (green)
+:<math>\Im(f)=0.6</math> (green)
+:<math>\Im(f)=0.4</math> (green)
+:<math>\Im(f)=0.2</math> (green)
+:<math>\Im(f)=0</math> (black)
+:<math>\Im(f)=-0.2</math> (green)
+:<math>\Im(f)=-0.4</math> (green)
+:<math>\Im(f)=-0.6</math> (green)
+:<math>\Im(f)=-0.8</math> (green)
+:<math>\Im(f)=-1</math> (red)
+:<math>\Im(f)=-1.2</math> (green)
+:<math>\Im(f)=-1.4</math> (green)
+:<math>\Im(f)=-1.6</math> (green)
+:<math>\Im(f)=-1.8</math> (green)
+:<math>\Im(f)=-3</math> (red)
 |CZ username= Dmitrii Kouznetsov
 |Year created= 2008
-|Notes=The code generating the figure will be uploaded.
+|Notes= See details at [[Image:SLOGappro50.jpg/code]]
 |Other versions=}}
 == Licensing/Copyright status ==
 {{CC-by-nd-3.0}}